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Two slits, 4 mm apart, are illuminated by light of wavelength 6000 Å. What will be the fringe width on a screen placed 2m from the slits 

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Explanation

β=λDd=6000×1010×24×103=3×104m=0.3mm

In the Young’s double slit experiment with sodium light. The slits are 0.589 m a part. The angular separation of the third maximum from the central maximum will be (given λ = 589 nm) 

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Explanation

Using relation, dsinθ=nλsinθ=nλd

For n = 3, sinθ=3λd=3×589×1090.589

= 3 × 10–6 or θ=sin1(3×106)

If the sodium light in Young’s double slit experiment is replaced by red light, the fringe width will

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Explanation

Bλ 

In Young’s double slit experiment the wavelength of light was changed from 7000 Å to 3500 Å. While doubling the separation between the slits which of the following is not true for this experiment

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Explanation

βλd 

In Young’s double-slit experiment, an interference pattern is obtained on a screen by a light of wavelength 6000 Å, coming from the coherent sources S1 and S2. At certain point P on the screen third dark fringe is formed. Then the path difference S1PS2P in microns is 

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Explanation

For dark fringe at P

S1PS2P=Δ=(2n1)λ/2

Here n =3 and λ = 6000

So, Δ=5λ2=5×60002=15000Å=1.5micron

In Young’s double-slit experiment the fringe width is β. If entire arrangement is placed in a liquid of refractive index n, the fringe width becomes 

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Explanation

β=λDd and λ1μ

In Young’s double slit experiment, distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 Å. Then angular position of the first dark fringe is 

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Explanation

Angular position of first dark fringe

θ=λd=5460×10100.1×103×180π (in degree)

= 0.313°

In a Young’s double slit experiment, the slit separation is 0.2 cm, the distance between the screen and slit is 1m. Wavelength of the light used is 5000 Å. The distance between two consecutive dark fringes (in mm) is 

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Explanation

Distance between two consecutive dark fringes β=λDd=5000×1010×10.2×102=0.25 mm.

A star emitting light of wavelength 5896 Å is moving away from the earth with a speed of 3600 km/sec. The wavelength of light observed on earth will 

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Explanation

 

ν'=ν1-vc1+vcλ=λ1+vc1-vc=λ1+3600c1-3600c=λ1.0120.988=1.012λ=70.75 Ao

A heavenly body is receding away from the earth such that the fractional change in λ is 1, then its velocity is :

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Explanation

When a planet recedes away from the earth and f is the frequency of vibration: f=cλIf v=velocity of moving away from the earth and λ'=apparent wavelength to an obeserver on the earth; λ'=c+vfλ'=c+vcλFractional change in wavelenth=λ'-λλ=c+vcλ-λλ=vc=1v=c 

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